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Can someone please help me with some integral homework before I shoot the crap out of my calculus book pretty please?! Equation in the forum
 one year ago
 one year ago
Can someone please help me with some integral homework before I shoot the crap out of my calculus book pretty please?! Equation in the forum
 one year ago
 one year ago

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bettyboop8904Best ResponseYou've already chosen the best response.0
\[\int\limits_{}^{}\ln (\sqrt[3]{x})\] That is x to the 3 root
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
it might help to think of the cube root of x as x^(1/3)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
then use the power rule
 one year ago

mathsmindBest ResponseYou've already chosen the best response.0
ok do u want me to solve it or should i tell u how to do it
 one year ago

bettyboop8904Best ResponseYou've already chosen the best response.0
ok I got as far to as thinking of x^(1/3) lol
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
now use the rule that integral of x^n = (1/(n+1))*x^(n+1)
 one year ago

mathsmindBest ResponseYou've already chosen the best response.0
if u solve it i give u medal and if i do so you give me one
 one year ago

bettyboop8904Best ResponseYou've already chosen the best response.0
so do u mean put 1/3 in front of the ln of stuff and then put it in front of the entire integral? bc that's what I did and it said it was wrong = (
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
there's no ln involved here
 one year ago

bettyboop8904Best ResponseYou've already chosen the best response.0
ok maybe you should write the whole thing out cuz now you're just confusing me, please, thank you
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
does this rule look familiar dw:1360297226043:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
sry the +C is nearly cut off
 one year ago

bettyboop8904Best ResponseYou've already chosen the best response.0
no yeah i already know that lol we're in the chapter of integration by parts and there is a ln involved it's in the front of the x^(1/3)
 one year ago

satellite73Best ResponseYou've already chosen the best response.2
not to interrupt, but i think the starting point here is \[\frac{1}{3}\int \ln(x)dx\] which you do either by parts or by memory
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.0
oh my bad, i didn't see the ln at the very beginning just thought it was cube root of x
 one year ago

satellite73Best ResponseYou've already chosen the best response.2
since \(\ln(x)\) is a very common function, it might be benificial just to memorize \[\int \ln(x)dx=x\ln(x)x\] you can check by differentiation
 one year ago

bettyboop8904Best ResponseYou've already chosen the best response.0
yes that's what i did. oh damn nvm hahaha i think i get it I keep getting it confused that the derivative of ln is 1/x and we don't know the integral of ln yet so we have to do integration by parts lol
 one year ago

satellite73Best ResponseYou've already chosen the best response.2
your answer is therefore \[\frac{1}{3}\left(x\ln(x)x \right)\]
 one year ago

mathsmindBest ResponseYou've already chosen the best response.0
you can use taylor series to integrate this easily
 one year ago

bettyboop8904Best ResponseYou've already chosen the best response.0
you guys were a great help! ty! = )
 one year ago

satellite73Best ResponseYou've already chosen the best response.2
i would memorize it just like remembering that \[\frac{d}{dx}\sqrt{x}=\frac{1}{2\sqrt{x}}\]so while your fellow classmates are integrating by parts, you just write down the answer
 one year ago

mathsmindBest ResponseYou've already chosen the best response.0
i won't recommend that method
 one year ago

mathsmindBest ResponseYou've already chosen the best response.0
what about\[\int\limits \ln e^{^{x ^{2}}}dx\]
 one year ago

mathsmindBest ResponseYou've already chosen the best response.0
\[\int\limits \ln(x^x)dx\]
 one year ago

mathsmindBest ResponseYou've already chosen the best response.0
\[\int\limits \ln(x^2+2x+1)dx\]
 one year ago

mathsmindBest ResponseYou've already chosen the best response.0
so these are 3 examples that can't be used by just memorizing the specific case
 one year ago

mathsmindBest ResponseYou've already chosen the best response.0
so basically use integration by parts like ur class mates
 one year ago
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